TSTP Solution File: SEU162+1 by Duper---1.0
View Problem
- Process Solution
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% File : Duper---1.0
% Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:40:32 EDT 2023
% Result : Theorem 3.98s 4.28s
% Output : Proof 3.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 15:03:31 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.98/4.28 SZS status Theorem for theBenchmark.p
% 3.98/4.28 SZS output start Proof for theBenchmark.p
% 3.98/4.28 Clause #2 (by assumption #[]): Eq (∀ (A B : Iota), Not (And (disjoint (singleton A) B) (in A B))) True
% 3.98/4.28 Clause #3 (by assumption #[]): Eq (∀ (A B : Iota), Not (in A B) → disjoint (singleton A) B) True
% 3.98/4.28 Clause #4 (by assumption #[]): Eq (∀ (A B : Iota), disjoint A B → disjoint B A) True
% 3.98/4.28 Clause #5 (by assumption #[]): Eq (Not (∀ (A B : Iota), Iff (Eq (set_difference A (singleton B)) A) (Not (in B A)))) True
% 3.98/4.28 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Iff (disjoint A B) (Eq (set_difference A B) A)) True
% 3.98/4.28 Clause #7 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (B : Iota), disjoint a B → disjoint B a) True
% 3.98/4.28 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (disjoint a a_1 → disjoint a_1 a) True
% 3.98/4.28 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (disjoint a_1 a) True)
% 3.98/4.28 Clause #10 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (in a B) → disjoint (singleton a) B) True
% 3.98/4.28 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Not (in a a_1) → disjoint (singleton a) a_1) True
% 3.98/4.28 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (Not (in a a_1)) False) (Eq (disjoint (singleton a) a_1) True)
% 3.98/4.28 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (disjoint (singleton a) a_1) True) (Eq (in a a_1) True)
% 3.98/4.28 Clause #21 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (And (disjoint (singleton a) B) (in a B))) True
% 3.98/4.28 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (Not (And (disjoint (singleton a) a_1) (in a a_1))) True
% 3.98/4.28 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (And (disjoint (singleton a) a_1) (in a a_1)) False
% 3.98/4.28 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (disjoint (singleton a) a_1) False) (Eq (in a a_1) False)
% 3.98/4.28 Clause #40 (by clausification #[5]): Eq (∀ (A B : Iota), Iff (Eq (set_difference A (singleton B)) A) (Not (in B A))) False
% 3.98/4.28 Clause #41 (by clausification #[40]): ∀ (a : Iota),
% 3.98/4.28 Eq (Not (∀ (B : Iota), Iff (Eq (set_difference (skS.0 0 a) (singleton B)) (skS.0 0 a)) (Not (in B (skS.0 0 a))))) True
% 3.98/4.28 Clause #42 (by clausification #[41]): ∀ (a : Iota),
% 3.98/4.28 Eq (∀ (B : Iota), Iff (Eq (set_difference (skS.0 0 a) (singleton B)) (skS.0 0 a)) (Not (in B (skS.0 0 a)))) False
% 3.98/4.28 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 3.98/4.28 Eq
% 3.98/4.28 (Not
% 3.98/4.28 (Iff (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.28 (Not (in (skS.0 1 a a_1) (skS.0 0 a)))))
% 3.98/4.28 True
% 3.98/4.28 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.98/4.28 Eq
% 3.98/4.28 (Iff (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.28 (Not (in (skS.0 1 a a_1) (skS.0 0 a))))
% 3.98/4.28 False
% 3.98/4.28 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.98/4.28 Or (Eq (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a)) False)
% 3.98/4.28 (Eq (Not (in (skS.0 1 a a_1) (skS.0 0 a))) False)
% 3.98/4.28 Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.98/4.28 Or (Eq (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a)) True)
% 3.98/4.28 (Eq (Not (in (skS.0 1 a a_1) (skS.0 0 a))) True)
% 3.98/4.28 Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.98/4.28 Or (Eq (Not (in (skS.0 1 a a_1) (skS.0 0 a))) False)
% 3.98/4.28 (Ne (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.28 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 3.98/4.28 Or (Ne (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.28 (Eq (in (skS.0 1 a a_1) (skS.0 0 a)) True)
% 3.98/4.28 Clause #53 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (disjoint a B) (Eq (set_difference a B) a)) True
% 3.98/4.28 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (Iff (disjoint a a_1) (Eq (set_difference a a_1) a)) True
% 3.98/4.28 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (Eq (set_difference a a_1) a) False)
% 3.98/4.28 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (Eq (set_difference a a_1) a) True)
% 3.98/4.28 Clause #57 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Ne (set_difference a a_1) a)
% 3.98/4.30 Clause #58 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (set_difference a a_1) a)
% 3.98/4.30 Clause #87 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (Not (in (skS.0 1 a a_1) (skS.0 0 a))) True)
% 3.98/4.30 (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.30 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.30 (Eq (in (skS.0 1 a a_1) (skS.0 0 a)) False)
% 3.98/4.30 Clause #89 (by superposition #[88, 13]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.30 (Or (Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True) (Eq False True))
% 3.98/4.30 Clause #121 (by clausification #[89]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.30 (Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True)
% 3.98/4.30 Clause #123 (by superposition #[121, 57]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True)
% 3.98/4.30 (Or (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True) (Ne (skS.0 0 a) (skS.0 0 a)))
% 3.98/4.30 Clause #153 (by eliminate resolved literals #[123]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True)
% 3.98/4.30 (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True)
% 3.98/4.30 Clause #155 (by superposition #[153, 9]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True)
% 3.98/4.30 (Or (Eq True False) (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True))
% 3.98/4.30 Clause #159 (by clausification #[155]): ∀ (a a_1 : Iota),
% 3.98/4.30 Or (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True)
% 3.98/4.30 (Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True)
% 3.98/4.30 Clause #160 (by eliminate duplicate literals #[159]): ∀ (a a_1 : Iota), Eq (disjoint (skS.0 0 a) (singleton (skS.0 1 a a_1))) True
% 3.98/4.30 Clause #163 (by superposition #[160, 9]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True)
% 3.98/4.30 Clause #164 (by superposition #[160, 58]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a))
% 3.98/4.30 Clause #167 (by clausification #[163]): ∀ (a a_1 : Iota), Eq (disjoint (singleton (skS.0 1 a a_1)) (skS.0 0 a)) True
% 3.98/4.30 Clause #169 (by superposition #[167, 24]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in (skS.0 1 a a_1) (skS.0 0 a)) False)
% 3.98/4.30 Clause #172 (by clausification #[169]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) (skS.0 0 a)) False
% 3.98/4.30 Clause #173 (by backward demodulation #[172, 48]): ∀ (a a_1 : Iota), Or (Ne (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a)) (Eq False True)
% 3.98/4.30 Clause #178 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a)
% 3.98/4.30 Clause #180 (by clausification #[173]): ∀ (a a_1 : Iota), Ne (set_difference (skS.0 0 a) (singleton (skS.0 1 a a_1))) (skS.0 0 a)
% 3.98/4.30 Clause #181 (by forward demodulation #[180, 178]): ∀ (a : Iota), Ne (skS.0 0 a) (skS.0 0 a)
% 3.98/4.30 Clause #182 (by eliminate resolved literals #[181]): False
% 3.98/4.30 SZS output end Proof for theBenchmark.p
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